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On the fractal structure of basin boundaries in two-dimensional noninvertible maps. (English) Zbl 1056.37058

MSC:
37E99 Low-dimensional dynamical systems
37F10 Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets
37F50 Small divisors, rotation domains and linearization in holomorphic dynamics
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References:
[1] Abraham R., Discrete Dynamical Systems in Two Dimensions (1997)
[2] DOI: 10.1016/S0960-0779(98)00258-6 · Zbl 1121.91355 · doi:10.1016/S0960-0779(98)00258-6
[3] Gumowski I., Dynamique Chaotique. Transition Ordre-Desordre (1980)
[4] Gumowski I., Lectures Notes in Mathematics 809, in: Recurrences and Discrete Dynamic Systems (1980) · Zbl 0449.58003 · doi:10.1007/BFb0089135
[5] DOI: 10.1142/0413 · doi:10.1142/0413
[6] DOI: 10.1142/S0218127494000241 · Zbl 0818.58032 · doi:10.1142/S0218127494000241
[7] DOI: 10.1142/9789812798732 · doi:10.1142/9789812798732
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